If In`(a+c),ln(a-c),ln(a-2b+c)` are in `AdotPdot,` then `a , b , c ,a r einAdotPdot` (b) `a^2,b^2,c^2a r einAdotPdot` `a , b , c` are in `GdotPdot` (d) `a , b , c` are in `HdotPdot`

If ln ( a+c ) , ln ( c-a) , ln(a-2b+c) are in A.P., then :

If log( a+c), log(c-a) , log ( a-2b+c) are in A.P., then :

In a A B C , if tanA/2,tanB/2,tanC/2a r einAdotPdot, then show that cosA ,cosB ,cosC are in AdotPdot

If log(a+c)+log(a+c-2b)=2log(a-c) then

If log(a+c)+log(a+c-2b)=2log(a-c) then

If in a A B C ,(sinA)/(sinC)=(sin(A-B))/(sin(B-C) , prove that a^2,b^2,c^2 are in AdotPdot

Column I, Column II If a ,b ,c ,a n dd are four zero real numbers such that (d+a-b)^2+(d+b-c)^2=0 and he root of the equation a(b-c)x^2+b(c-a)x=c(a-b)=0 are real and equal, then, p. a+b+c=0 If the roots the equation (a^2+b^2)x^2-2b(a+c)x+(b^2+c^2)=0 are real and equal, then, q. a ,b ,ca r einAdotPdot If the equation a x^2+b x+c=0a n dx^3-3x^2+3x-0 have a common real root, then, r. a ,b ,ca r einGdotPdot Let a ,b ,c be positive real number such that the expression b x^2+(sqrt((a+b)^2+b^2))x+(a+c) is non-negative AAx in R , then, s. a ,b ,ca r einHdotPdot

If A,B,C, are the angles of a triangle such that cotA/2=3tanC/2, then sinA ,sinB ,sinC are in AdotPdot (b) GdotPdot (c) HdotPdot (d) none of these

In a triangle ABC, if sinAsin(B-C)=sinCsin(A-B), then prove that cotA ,cotB ,cotCa r einAdotPdot

In a triangle ABC, if sinAsin(B-C)=sinCsin(A-B), then prove that cotA ,cotB ,cotCa r einAdotPdot